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Finding the Fourth Proportional to 1,285.47, 1,918.35 and 1,147.05

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Solution

The fourth proportional to 1,285.47, 1,918.35 and 1,147.05 is: 1,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.47 : 1,918.35 = 1,147.05 : x
  2. Step 2: Convert to fraction form
    1,285.47/1,918.35 = 1,147.05/x
  3. Step 3: Cross multiply
    1,285.47x = 1,918.35 × 1,147.05
  4. Step 4: Simplify right side
    1,285.47x = 2,200,443.37
  5. Step 5: Solve for x
    x = 2,200,443.37/1,285.47
  6. Step 6: Final answer
    x = 1,711.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.